Journals / Turkish Journal of Mathematics and Computer Science / 2021 / Cilt: 13 - Sayı: 2

A New Type Multivariable Multiple Hypergeometric Functions

Pages
359–372
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In addition, by employing the Erkus-Srivastava polynomials (see [11]) and the fourth type multivariable Horn functions (see [13]), we have also provided some of its conclusions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We define a new type of multivariable multiple hypergeometric functions in this paper, which is inspired by Exton's multiple hypergeometric functions given by in [13].
📊
Key Findings & Data:Then, for these functions, we obtain some certain type linear generating functions.
💡
Conclusion & Impact:In addition, by employing the Erkus-Srivastava polynomials (see [11]) and the fourth type multivariable Horn functions (see [13]), we have also provided some of its conclusions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Multiple hypergeometric functions · Multivariable Horn Functions · Lauricella functions

Abstract

We define a new type of multivariable multiple hypergeometric functions in this paper, which is inspired by Exton's multiple hypergeometric functions given by in [13]. Then, for these functions, we obtain some certain type linear generating functions. After that, we derive a variety classes of multilinear and multilateral generating functions for a family of the multivariable multiple hypergeometric functions. In addition, by employing the Erkus-Srivastava polynomials (see [11]) and the fourth type multivariable Horn functions (see [13]), we have also provided some of its conclusions.

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Cite This Article

KORKMAZ-DUZGUN, D. (2021). A New Type Multivariable Multiple Hypergeometric Functions. Turkish Journal of Mathematics and Computer Science, Cilt: 13 - Sayı: 2, 359–372. https://ajindex.com/articles/403457

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